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Finding the Fourth Proportional to 10,091.39, 13,920.90 and 5,897.21

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Solution

The fourth proportional to 10,091.39, 13,920.90 and 5,897.21 is: 8,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.39 : 13,920.90 = 5,897.21 : x
  2. Step 2: Convert to fraction form
    10,091.39/13,920.90 = 5,897.21/x
  3. Step 3: Cross multiply
    10,091.39x = 13,920.90 × 5,897.21
  4. Step 4: Simplify right side
    10,091.39x = 82,094,470.69
  5. Step 5: Solve for x
    x = 82,094,470.69/10,091.39
  6. Step 6: Final answer
    x = 8,135.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.